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Finding the Fourth Proportional to 30,987.92, 42,761.56 and 16,840.68

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Solution

The fourth proportional to 30,987.92, 42,761.56 and 16,840.68 is: 23,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,987.92 : 42,761.56 = 16,840.68 : x
  2. Step 2: Convert to fraction form
    30,987.92/42,761.56 = 16,840.68/x
  3. Step 3: Cross multiply
    30,987.92x = 42,761.56 × 16,840.68
  4. Step 4: Simplify right side
    30,987.92x = 720,133,748.26
  5. Step 5: Solve for x
    x = 720,133,748.26/30,987.92
  6. Step 6: Final answer
    x = 23,239.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.